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Simplifying 2x3 + -4x + 5x + 8atx = 2 Reorder the terms: 8atx + -4x + 5x + 2x3 = 2 Combine like terms: -4x + 5x = 1x 8atx + 1x + 2x3 = 2 Solving 8atx + 1x + 2x3 = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. 8atx + 1x + -1x + 2x3 = 2 + -1x Combine like terms: 1x + -1x = 0 8atx + 0 + 2x3 = 2 + -1x 8atx + 2x3 = 2 + -1x Add '-2x3' to each side of the equation. 8atx + 2x3 + -2x3 = 2 + -1x + -2x3 Combine like terms: 2x3 + -2x3 = 0 8atx + 0 = 2 + -1x + -2x3 8atx = 2 + -1x + -2x3 Divide each side by '8tx'. a = 0.25t-1x-1 + -0.125t-1 + -0.25t-1x2 Simplifying a = 0.25t-1x-1 + -0.125t-1 + -0.25t-1x2 Reorder the terms: a = -0.125t-1 + 0.25t-1x-1 + -0.25t-1x2
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